Four students are verifying that x squared plus x minus 12 is equal to open paren x minus 3 close paren times open paren x plus 4 close paren Their conclusions are presented in the table. Damien Lauryn Rico Latisha 3 times negative 4 is equal to negative 12 , so the factors are correct negative 4 plus 3 is equal to negative 1 , so the factors are correct negative 4 times 3 is equal to negative 12 and negative 4 plus 3 is equal to negative 1 , so the factors are correct 4 times negative 3 is equal to negative 12 and negative 3 plus 4 is equal to 1 , so the factors are correct Which student correctly verified that x squared plus x minus 12 is equal to open paren x minus 3 close paren times open paren x plus 4 close paren ?
To verify the factors, check that the constants, −3 and 4, multiply to −12 and add to the coefficient of x, which is 1. Latisha checks both conditions: 4 × (−3) = −12 and −3 + 4 = 1. Therefore, Latisha correctly verified the factorization.
AI-written and checked against the verified answer.